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Lana71 [14]
3 years ago
14

Prove that (2n+5)^2-(11-4n)^2 is divisible by 12, if n is an integer.

Mathematics
1 answer:
Olegator [25]3 years ago
3 0

Answer:

steps below

Step-by-step explanation:

(2n+5)²-(11-4n)² = (4n²+20n+25) - (121-88n+16n²)

= -12n²+108n-96

= 12(-n²+9n-8) .... multiple of 12

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Choose the student who modeled the relationship correctly in a table.
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Step-by-step explanation:

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Which function rule is a rational function x/2 x-2/4 x-2/2 2/x
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( x/2 )
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8 0
4 years ago
Analyze the table below and answer the question that follows.
lora16 [44]

Answer:

C. Events E and A are independent

Step-by-step explanation:

we will verify each options

(a)

We can use independent events formula

P(B∩C)=P(B)*P(C)

we are given

P(B)=0.4

P(C)=0.25

P(B∩C)=0.05

now, we can plug these values into formula

and we get

0.05=0.4*0.25

0.05=0.1

we can see that left side is not equal to right side

so, this is FALSE

(b)

We can use independent events formula

P(D∩A)=P(D)*P(A)

we are given

P(D)=0.25

P(A)=0.6

P(D∩A)=0.1

now, we can plug these values into formula

and we get

0.1=0.25*0.6

0.1=0.15

we can see that left side is not equal to right side

so, this is FALSE

(c)

We can use independent events formula

P(E∩A)=P(E)*P(A)

we are given

P(E)=0.5

P(A)=0.6

P(E∩A)=0.3

now, we can plug these values into formula

and we get

0.3=0.5*0.6

0.3=0.3

we can see that both sides are equal

so, this is TRUE

(d)

We can use independent events formula

P(D∩B)=P(D)*P(B)

we are given

P(D)=0.25

P(B)=0.4

P(D∩A)=0.15

now, we can plug these values into formula

and we get

0.15=0.25*0.4

0.15=0.1

we can see that left side is not equal to right side

so, this is FALSE


8 0
3 years ago
I need to know this fast!!!
pochemuha

Answer:

Step-by-step explanation:

$7.25 - $5.75 = $1.50

$1.50 ÷ $0.50 = 3

7 0
3 years ago
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